# Math Help - Solving For a Sphere's Equation Given a Point of Intersection, as well as the centre.

1. ## Solving For a Sphere's Equation Given a Point of Intersection, as well as the centre.

Hi everyone,

The question is, "Find the equation of the sphere that psses through the origin with centre at (1,-2, 5)."

The equation of a sphere is: (X-j)^2 + (Y-k)^2 + (Z-L)^2 = r^2, where the centre is (j,k,L).

Would the problem be solved by replacing the Xs, Ys, and Zs with 0, and replacing jkL with (1,-2,5), respectively, and solving for r?